• Guilherme Jahnecke Weymar Universidade Federal do Rio Grande do Sul UFRGS/ Estudante
  • Bardo Ernst Josef Bodmann UFRGS/Professor
  • Daniela Buske UFPel/Professora
  • Jonas da Costa Carvalho UFPel/Professor
  • Marco Túllio Menna Barreto de Vilhena UFRGS/Professor



Advection-diffusion equation. Photochemical reaction. Analytical solution. GILTT method.


This paper presents an analytical solution for three-dimensional advection-diffusion equation applied to the dispersion of reactive pollutants emitted into the Atmospheric Boundary Layer (PBL). Some substances when emitted in PBL suffer photochemical reactions, so a source term is included in the advection-diffusion equation to represent this reaction, turning the model more realistic. The pollutant concentration fields obtained by the proposed solution are compared with the mixing ratio data obtained by monitoring the air quality in the metropolitan region of Porto Alegre. With the analysis of the results can be seen that the inclusion of the term proposed to represent a photochemical reaction of a reactive pollutant, a is a new proposal for the prediction of pollutant concentration in PBL.


Download data is not yet available.

Author Biographies

Guilherme Jahnecke Weymar, Universidade Federal do Rio Grande do Sul UFRGS/ Estudante

Estudante de Doutorado, área Fenômenos de Transporte, PROMEC - UFRGS.

Bardo Ernst Josef Bodmann, UFRGS/Professor

Professor PROMEC - UFRGS.

Daniela Buske, UFPel/Professora

Professora PPGMMat - UFPel

Jonas da Costa Carvalho, UFPel/Professor

Professor PPGMET - UFPel

Marco Túllio Menna Barreto de Vilhena, UFRGS/Professor

Professor PROMEC - UFRGS.


Athinson-Palombo, C., Miller, J. A., Balling, J., Robert, C. (2006). Quantifuing the ozone "weeken effect"at various locations in phoenix, arizona. Atmospheric Environment, (40), 7644–7658.

Batchelor, G. K. (1949). Diffusion in a field of homogeneous turbulence, Eulerian analysis, Australian Journal of Scientific Research 2, pp. 437–450.

Buske, D., Vilhena, M. T., Tirabassi, T., Bodmann, B. (2012). Air pollution steady-state advection-diffusion equation: the general three-dimensional solution. Journal of Envir Protec, 4, 1–10.

Caughey, S. J. (1982). Diffusion in the convective boundary layer, Atmospheric Turbulence and Air Pollution Modelling, Editted by F.T.M. Nieuwstadt and H. Van Dop, Reidel, Boston.

Colbeck, I., Mackenzie, A. (1994). Air pollution by photochemical

oxidants, vol 1. Elsevier Science.

Degrazia, G. A., Velho, H. F. C., Carvalho, J. C. (1997). Nonlocal exchange coefficients for the convective boundary layer derived from spectral properties. Contributions to Atmospheric Physics, pp. 57–64.

Finlayson-Pitts, B. J., Pitts, J. N. (1997). Tropospheric air pollution ozone, airborne toxics, plycyclic aromatic hydrocarbons and particles. Science, 276, 1045–1051.

Finlayson-Pitts, B. J., Pitts, J. N. (2000). Spectroscopy and photochemistry fundamentals. Science, pp. 43–85.

Hojstrup, J. (1982). Velocity spectra in the unstable boundary layer. Journal of Amospheric Sciences, 39, 2239–2248.

Irwin, J. S. (1979). A theorical variation of the wind profile power-low exponent as a function of surface roughness and stability. Atmospheric Environment, 13, 191–194.

Jacobson, M. Z. (2005). Fundamentals of Atmospheric Modeling, 2o edn. Cambridge University Press.

Moreira, D., Tirabassi, T. (2004). Modelo matemático de dispersão de poluentes na atmosfera: um instrumento técnico para gestão ambiental. Ambiente & Sociedade, 7, 169–171.

Moreira, D. M., Vilhena, M. T., Carvalho, C. (2007). Tritium dispersion simulation in the atmosphere from angra i nuclear power plant. International Journal of Nuclear Energy Science and Technology, 3, 118–130.

Panofsky, H. A., Dutton, J. A. (1984). Atmospheric Turbulence. John Wiley & Sons, New York.

Wortmann, S., Vilhena, M. T., Moreira, D., Buske, D. (2005). A new analytical approach to simulate the pollutant dispersion in the pbl. Atmospheric Environment, 39, 2171–2178.



How to Cite

Weymar, G. J., Bodmann, B. E. J., Buske, D., Carvalho, J. da C., & Vilhena, M. T. M. B. de. (2016). ANALYTICAL SOLUTION FOR A POLLUTANT DISPERSION MODEL WITH PHOTOCHEMICAL REACTION IN THE ATMOSPHERIC BOUNDARY LAYER. Ciência E Natura, 38, 177–181.

Most read articles by the same author(s)

1 2 3 4 > >>